Strong converse inequalities for the weighted multivariate Bernstein-Durrmeyer operator on the simplex via multipliers

zbMath1474.41031arXiv1909.04552MaRDI QIDQ4994213

Borislav R. Draganov

Publication date: 17 June 2021

Full work available at URL: https://arxiv.org/abs/1909.04552

zbMATH Keywords

multipliers\(K\)-functionalorthogonal expansionstrong converse inequalityBernstein-Durrmeyer operator

Mathematics Subject Classification ID

Approximation by positive operators (41A36) Inverse theorems in approximation theory (41A27)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Cesàro means of orthogonal expansions in several variables
• Approximation by the Bernstein-Durrmeyer operator on a simplex
• Exact estimates of the rate of approximation of convolution operators
• On multivariate approximation by Bernstein-type polynomials
• Bernstein-Durrmeyer polynomials on a simplex
• Multivariate Bernstein and Markov inequalities
• Multipliers for (C,a)-bounded Fourier expansions in Banach spaces and approximation theory
• Strong converse inequality for the Bernstein-Durrmeyer operator
• The lower estimate for linear positive operators. I
• Topics in approximation theory
• On summation processes of Fourier expansions in Banach spaces. I: Comparison theorems
• On summation processes of Fourier expansions in Banach spaces. II: Saturation theorems
• ABSOLUTE CONVERGENCE OF FOURIER INTEGRALS, SUMMABILITY OF FOURIER SERIES, AND POLYNOMIAL APPROXIMATION OF FUNCTIONS ON THE TORUS
• Approximation Theory and Harmonic Analysis on Spheres and Balls
• Some Tauberian theorems with applications to approximation theory
• LINEAR SUMMATION METHODS AND THE ABSOLUTE CONVERGENCE OF FOURIER SERIES
• The Mean Convergence of Orthogonal Series. II
• Strong converse inequalities

This page was built for publication: Strong converse inequalities for the weighted multivariate Bernstein-Durrmeyer operator on the simplex via multipliers